Search a number
-
+
145013233002 = 231123412329979
BaseRepresentation
bin1000011100001101110…
…1100101010101101010
3111212022012222111120120
42013003131211111222
54333441341424002
6150341304504110
713322364066651
oct2070335452552
9455265874516
10145013233002
115655520a310
122413077b036
13108a03a4b61
147039376198
153b8adddcbc
hex21c376556a

145013233002 has 64 divisors (see below), whose sum is σ = 338201256960. Its totient is φ = 41007612800.

The previous prime is 145013232989. The next prime is 145013233003. The reversal of 145013233002 is 200332310541.

145013233002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1450132330023 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (145013233003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102752 + ... + 1227227.

It is an arithmetic number, because the mean of its divisors is an integer number (5284394640).

Almost surely, 2145013233002 is an apocalyptic number.

145013233002 is an abundant number, since it is smaller than the sum of its proper divisors (193188023958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145013233002 is a wasteful number, since it uses less digits than its factorization.

145013233002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330059.

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 145013233002 its reverse (200332310541), we get a palindrome (345345543543).

It can be divided in two parts, 145013 and 233002, that added together give a triangular number (378015 = T869).

The spelling of 145013233002 in words is "one hundred forty-five billion, thirteen million, two hundred thirty-three thousand, two".

Divisors: 1 2 3 6 11 22 23 33 41 46 66 69 82 123 138 246 253 451 506 759 902 943 1353 1518 1886 2706 2829 5658 10373 20746 31119 62238 2329979 4659958 6989937 13979874 25629769 51259538 53589517 76889307 95529139 107179034 153778614 160768551 191058278 286587417 321537102 573174834 589484687 1050820529 1178969374 1768454061 2101641058 2197170197 3152461587 3536908122 4394340394 6304923174 6591510591 13183021182 24168872167 48337744334 72506616501 145013233002